Classical Topology Theorems

• Grant number: 24/17530-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2024
• End date: October 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Livia Ribeiro Marques Camilo
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 22/16455-6 - Algebraic, geometric, and differential topology, AP.TEM

Abstract

We propose the study of some classical theorems in Topology such as the Tychonoff Theorem, Urysohn's Lemma, Tietze's Extension Theorem, and Ascoli's Theorem. These fundamental elements are key points in various areas such as Algebraic Topology, Analysis, and Geometry